Abstract
Let G be a finite group; in this section we introduce the differential Z -graded OG-modules (or complexes of OG-modules) and develop the usual terminology in terms of DG-modules. As explained in 9.1, here we are interested only on the differential Z-graded OG-modules which are finitely generated as O-modules (in short, O-finite) and it is now clear that they are just the O-finite DG-modules. In other words, an O-finite complexe of OG-modules M is an O-finite OG-module endowed with a unitary O-algebra homomorphism
This is a preview of subscription content, log in via an institution.
Buying options
Tax calculation will be finalised at checkout
Purchases are for personal use only
Learn about institutional subscriptionsPreview
Unable to display preview. Download preview PDF.
Author information
Authors and Affiliations
Rights and permissions
Copyright information
© 1999 Springer Basel AG
About this chapter
Cite this chapter
Carreres, L.P. (1999). D G-modules. In: On the Local Structure of Morita and Rickard Equivalences between Brauer Blocks. Progress in Mathematics, vol 178. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-8693-2_10
Download citation
DOI: https://doi.org/10.1007/978-3-0348-8693-2_10
Publisher Name: Birkhäuser, Basel
Print ISBN: 978-3-0348-9732-7
Online ISBN: 978-3-0348-8693-2
eBook Packages: Springer Book Archive